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Finding the Fourth Proportional to 15,311.25, 22,967.01 and 6,077.25

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Solution

The fourth proportional to 15,311.25, 22,967.01 and 6,077.25 is: 9,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.25 : 22,967.01 = 6,077.25 : x
  2. Step 2: Convert to fraction form
    15,311.25/22,967.01 = 6,077.25/x
  3. Step 3: Cross multiply
    15,311.25x = 22,967.01 × 6,077.25
  4. Step 4: Simplify right side
    15,311.25x = 139,576,261.52
  5. Step 5: Solve for x
    x = 139,576,261.52/15,311.25
  6. Step 6: Final answer
    x = 9,115.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.